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The Euclidean Programme
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The Euclidean Programme Hardback - 2024

by A. C. Paseau; Wesley Wrigley

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The Euclidean Programme embodies a traditional sort of epistemological foundationalism, according to which knowledge - especially mathematical knowledge - is obtained by deduction from self-evident axioms or first principles. Epistemologists have examined foundationalism extensively, but neglected its historically dominant Euclidean form. By contrast, this book offers a detailed examination of Euclidean foundationalism, which, following Lakatos, the authors call the Euclidean Programme. The book rationally reconstructs the programme's key principles, showing it to be an epistemological interpretation of the axiomatic method. It then compares the reconstructed programme with select historical sources: Euclid's Elements, Aristotle's Posterior Analytics, Descartes's Discourse on Method, Pascal's On the Geometric Mind and a twentieth-century account of axiomatisation. The second half of the book philosophically assesses the programme, exploring whether various areas of contemporary mathematics conform to it. The book concludes by outlining a replacement for the Euclidean Programme.

Details

  • Title The Euclidean Programme
  • Author A. C. Paseau; Wesley Wrigley
  • Binding Hardback
  • Pages 82
  • Volumes 1
  • Language ENG
  • Publisher Cambridge University Press
  • Publication date 2024-02-22
  • ISBN 9781009494403 / 1009494406
  • Weight 0.62 lbs (0.28 kg)
  • Dimensions 9 x 6 x 0.25 in (22.86 x 15.24 x 0.64 cm)
  • Category Science

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The Euclidean Programme

The Euclidean Programme

by A. C. Paseau

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Hardcover. New. New Book; Fast Shipping from UK; Not signed; Not First Edition; This Element shows that Euclidean Programme (EP) embodies a traditional sort of epistemological foundationalism about mathematics. This Element is devoted to an examination of the EP. The authors propose a rational reconstruction of the
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The Euclidean Programme

The Euclidean Programme

by A. C. Paseau

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Hardback. New. This Element shows that Euclidean Programme (EP) embodies a traditional sort of epistemological foundationalism about mathematics. This Element is devoted to an examination of the EP. The authors propose a rational reconstruction of the EP's key principles, superior to the axiomatic method.
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The Euclidean Programme
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The Euclidean Programme

by A. C. Paseau , Wesley Wrigley

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The Euclidean Programme (Elements in the Philosophy of Mathematics)
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The Euclidean Programme (Elements in the Philosophy of Mathematics)

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The Euclidean Programme
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The Euclidean Programme

by A. C. Paseau , Wesley Wrigley

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9781009494403 / 1009494406
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The Euclidean Programme (Elements in the Philosophy of Mathematics)
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The Euclidean Programme (Elements in the Philosophy of Mathematics)

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The Euclidean Programme
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The Euclidean Programme

by A. C. Paseau , Wesley Wrigley

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ISBN 10 / ISBN 13
9781009494403 / 1009494406
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